What is 5.2 percent of 40.064 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 40.064 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 40.064 is 100%, so we can write it down as 40.064=100%.
4. We know, that x is 5.2% of the output value, so we can write it down as x=5.2%.
5. Now we have two simple equations:
1) 40.064=100%
2) x=5.2%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
40.064/x=100%/5.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.2% of 40.064

40.064/x=100/5.2
(40.064/x)*x=(100/5.2)*x       - we multiply both sides of the equation by x
40.064=19.230769230769*x       - we divide both sides of the equation by (19.230769230769) to get x
40.064/19.230769230769=x
2.083328=x
x=2.083328

now we have:
5.2% of 40.064=2.083328